An elementary method to compute the algebra generated by some given matrices and its dimension

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An elementary method to compute the algebra generated by some given matrices and its dimension

机译：一种计算一些给定矩阵及其维度生成的代数的基本方法

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We give an efficient solution to the following problem: Given X-1, ... X-d and Y some n by n matrices can we determine if Y is in the unital algebra generated by X-1, ... , X-d as a subalgebra of all n by n matrices? The solution also gives an easy method for computing the dimension of this algebra. (C) 2019 Elsevier Inc. All rights reserved.

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《Linear Algebra and its Applications》 |2019年第2019期|共11页
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正文语种 eng
中图分类线性代数;
关键词
Calculation of matrix algebras from generators; Dimension of matrix algebras; Bases for matrix algebras;

机译：从发电机计算矩阵代数;矩阵代数的尺寸;矩阵代数的基础;

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4. A computer based method for computing the N-dimensional generalized ABCD parameter matrices of N-dimensional systems with distributed parameters [C] . Bhatti, A.A. . 1990

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5. Exact S-matrices and related algebraic structures in two-dimensional quantum systems. [D] . Bassi, Zorawar Singh. 2000

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7. An elementary method to compute the algebra generated by some given matrices and its dimension [O] . J.E. Pascoe 2019

机译：一种计算一些给定矩阵生成的代数的基本方法及其维数

An elementary method to compute the algebra generated by some given matrices and its dimension

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